6365 refer to Table 1.49, which describes a

Chapter , Problem 63

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6365 refer to Table 1.49, which describes a boustrophedonic pairing function. 39 We can use this table to list all the positive roots of the positive integers, such as 2, 3, 3 2, 3 3, 4 2, 4 3,, without omitting any. If is an entry in the table, we let stand for the column number and the row number of the entry and define the function by () = 1 . For instance, if = 6, then = 2 and = 3 so we have (6) = 213, or 3 2. Table 1.49 123456 1 1 2 9 10 25 26 2 4 3 8 11 24 27 3 5 6 7 12 23 28 4 16 15 14 13 22 29 5 17 18 19 20 21 30 6 36 35 34 33 32 31 Evaluate (22).

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